Coherent state wave function || Concepts
📝 Problems+solutions:
Quantum harmonic oscillator I: https://professorm.learnworlds.com/co...
Quantum harmonic oscillator II: https://professorm.learnworlds.com/co...
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📚 Coherent states of the quantum harmonic oscillator are those states that most closely resemble the classical oscillator. In this video we explore this from the perspective of the wave function of coherent states. We find that it has a Gaussian shape, which is consistent with the fact that coherent states are minimum uncertainty states. We also explore the time evolution of the coherent state wave function, revealing the back-and-forth motion that we traditionally associated with harmonic oscillators.
0:00 Intro
4:16 Coherent state wave function
8:06 Minimum uncertainty state
9:40 Displacement operator
11:02 Time evolution
14:31 Wrap-up
⏮️ BACKGROUND
Quantum harmonic oscillator: • The quantum harmonic oscillator
Ladder operators: • Ladder and number operators of the quantum...
Quantum harmonic oscillator eigenstates: • Eigenstates of the quantum harmonic oscill...
Coherent states: • Coherent states in quantum mechanics
Quasi-classical states: • Quasi-classical states: does the quantum h...
Displacement operator: • The displacement operator in quantum mecha...
Minimum uncertainty states: • Minimum uncertainty states in quantum mech...
⏭️ WHAT NEXT?
Coherent state wave function || Maths: • Coherent state wave function || Maths
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Director and writer: BM
Producer and designer: MC